Search a number
-
+
2196674880 = 263531223331
BaseRepresentation
bin1000001011101110…
…1001100101000000
312200002102122102220
42002323221211000
513444322044010
61001550211040
7105302266641
oct20273514500
95602378386
102196674880
11a27a69394
125137b3a80
1329013902a
1416ba536c8
15cccb1970
hex82ee9940

2196674880 has 224 divisors, whose sum is σ = 7253557248. Its totient is φ = 562636800.

The previous prime is 2196674863. The next prime is 2196674881. The reversal of 2196674880 is 884766912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2196674881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6636315 + ... + 6636645.

It is an arithmetic number, because the mean of its divisors is an integer number (32381952).

Almost surely, 22196674880 is an apocalyptic number.

2196674880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2196674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626778624).

2196674880 is an abundant number, since it is smaller than the sum of its proper divisors (5056882368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2196674880 is a wasteful number, since it uses less digits than its factorization.

2196674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 2196674880 is about 46868.6982964110. The cubic root of 2196674880 is about 1299.9358706038.

The spelling of 2196674880 in words is "two billion, one hundred ninety-six million, six hundred seventy-four thousand, eight hundred eighty".